Abstract
Directed evidential networks are powerful tools for knowledge representation and uncertain reasoning in a belief function framework. In this paper, we propose an algorithm for the propagation of belief functions in the singly-connected directed evidential networks, when each node is associated with one conditional belief function distribution specified given all its parents.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Ben Yaghlane, B., Mellouli, K.: Inference in Directed Evidential Networks Based on the Transferable Belief Model. IJAR 48(2), 399–418 (2008)
Yaghlane, B.B., Mellouli, K.: Updating directed belief networks. In: Hunter, A., Parsons, S. (eds.) ECSQARU 1999. LNCS (LNAI), vol. 1638, pp. 43–54. Springer, Heidelberg (1999)
Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. Annals of Mathematical Statistics 38, 325–339 (1967)
Pearl, J.: Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference. Morgan Kaufmann (1988)
Shafer, G.: A Mathematical Theory of Evidence. Princeton University Press, Princeton (1976)
Shenoy, P.P.: Valuation networks and conditional independence. Uncertainty in Artificial Intelligence, 191–199 (1993)
Smets, P.: Belief Function: The Disjunctive Rule of Combination and the Generalized Bayesian Theorem. Int. J. Approx. Reasoning 9, 1–35 (1993)
Smets, P., Kennes, R.: The transferable belief model. Artificial Intelligence 66, 191–234 (1994)
Xu, H., Smets, P.: Evidential Reasoning with Conditional Belief Functions. In: Heckerman, D., et al. (eds.) Proceedings of Uncertainty in Artificial Intelligence (UAI 1994), pp. 598–606. Morgan Kaufmann, San Mateo (1994)
Zadeh, L.A.: Fuzzy Sets. Information and Control 8, 338–353 (1965)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Laâmari, W., Ben Yaghlane, B. (2014). Reasoning in Singly-Connected Directed Evidential Networks with Conditional Beliefs. In: Likas, A., Blekas, K., Kalles, D. (eds) Artificial Intelligence: Methods and Applications. SETN 2014. Lecture Notes in Computer Science(), vol 8445. Springer, Cham. https://doi.org/10.1007/978-3-319-07064-3_18
Download citation
DOI: https://doi.org/10.1007/978-3-319-07064-3_18
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-07063-6
Online ISBN: 978-3-319-07064-3
eBook Packages: Computer ScienceComputer Science (R0)